{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import os\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sbn\n",
    "import pandas as pd"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "#输入文件路径\n",
    "CURRENT_PATH = os.getcwd()\n",
    "S_PATH = os.path.join(CURRENT_PATH,'data','simply_id')\n",
    "SONG_NUM_ID  = os.path.join(S_PATH,'song_num_id.csv')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "#输出文件路径\n",
    "SONG_NUM_LOG = os.path.join(S_PATH,'song_num_log.csv')  \n",
    "#对company’,’artist_name_i lyricist_id d’,’lyricist_id’,’composer_id’的‘_song_cnt’和‘_rec_cnt’通过log规范"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Empty DataFrame\n",
      "Columns: [song_id, song_length, artist_name, composer, lyricist, song_cnt, song_re_cnt, re_rate, name, song_year, country, company, first_genre_id, second_genre_id, genre_id_cnt, artist_name_id, lyricist_id, composer_id, language_id, company_song_cnt, artist_name_id_song_cnt, lyricist_id_song_cnt, composer_id_song_cnt, language_id_song_cnt, company_rec_cnt, company_re_rate, artist_name_id_rec_cnt, artist_name_id_re_rate, lyricist_id_rec_cnt, lyricist_id_re_rate, composer_id_rec_cnt, composer_id_re_rate, language_id_rec_cnt, language_id_re_rate, first_genre_id_song_cnt, second_genre_id_song_cnt, first_genre_id_rec_cnt, first_genre_id_re_rate, second_genre_id_rec_cnt, second_genre_id_re_rate]\n",
      "Index: []\n",
      "\n",
      "[0 rows x 40 columns]\n"
     ]
    }
   ],
   "source": [
    "#读取文件\n",
    "song = pd.read_csv(SONG_NUM_ID)\n",
    "print(str(song[:0]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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Zufhj3gQy+ef0a9396+7+YZJHMovbi9mUfbspyZ1J0t3fTfKyzK7ZyOlN+m/gejsdM5fC\n2p6F+zY/XfbpzELm9xczp9237n6qu3d396XdfWlmv2s81N3buhbcb5EpP6dfzexNR6mq3Zmddnz0\nrE55/pmybz9O8tYkqao3ZBazU2d1yjEdS/LO+bsar07yVHf/5HSfsKOnGdulsLZl4r59PMkrknx5\n/n6ZH3f3oXM29Hlg4r6xwcR9uyvJX1TVQ0n+J8kHu/tn527qc2/ivn0gyb9W1d9ldprsXf6xnlTV\nFzM7Zb17/vvEDyd5aZJ096cy+/3idUlOJnk6ybsXPqd9BWB0rgACwPDEDIDhiRkAwxMzAIYnZgAM\nT8wAGJ6YATA8MQNgeP8HopAbChrnT7oAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x14c8ce78e10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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QU9iJiEjoKexERCT0FHYiIhJ6MYWdmc0xs3Vmlmdm1zUxPd3MHgumLzazcVHTfhSMX2dm\nZwXjMszsXTN738xWmdkN8dogERGRxloNOzNLBn4HnA1MBy4ys+mNil0JFLv7ROA3wC3BvNOBecAM\nYA5wR7C8KuA0dz8CmAnMMbPj4rNJIiIiHxfLkd0xQJ67b3T3auBRYG6jMnOB+4PhJ4DTzcyC8Y+6\ne5W7bwLygGM8oiwonxq8vIPbIiIi0qRYwm4ksC3qfX4wrsky7l4LlAKDWprXzJLNbAVQCLzs7oub\nWrmZXWVmS81s6e7du2OoroiIyMelxFDGmhjX+CisuTLNzuvudcBMM+sPPGVmh7r7yk8Udr8TuBNg\n9uzZPfLo7+HFW5uddvGxY7qwJiIivVMsR3b5wOio96OAgubKmFkKkAMUxTKvu5cAC4lc0xMREYm7\nWMJuCTDJzMabWRqRBicLGpVZAFwRDJ8PvObuHoyfF7TWHA9MAt41syHBER1mlgl8Bljb8c0RERH5\npFZPY7p7rZldA7wIJAP3uvsqM7sRWOruC4B7gPlmlkfkiG5eMO8qM3scWA3UAle7e52ZjQDuD1pm\nJgGPu/vfOmMDRUREYrlmh7s/BzzXaNzPooYrgQuamfdm4OZG4z4AjmxrZUVERNpDPaiIiEjoKexE\nRCT0FHYiIhJ6CjsREQk9hZ2IiISewk5EREJPYSciIqGnsBMRkdBT2ImISOgp7EREJPQUdiIiEnoK\nOxERCT2FnYiIhJ7CTkREQk9hJyIioaewExGR0FPYiYhI6CnsREQk9BR2IiISegq7Tubuia6CiEiv\np7DrRMu3FvP/nl/L2h37El0VEZFeTWHXSdydN9fvoayqlgcWbeHVNbuo11GeiEhCpCS6AmFVUFLJ\nzn2VnHPYCHaWHuDVtYWUVNTwpaNGJbpqIiK9jsKukyzdUkRKknHUmAFkpA4iNTmJJZuLOOewEWSm\nJSe6eiIivYpOY3aCmrp63s8v4dCROWSmJWNmHDlmAPUOH+3an+jqiYj0Ogq7TrC6YB+VNfUcNXbA\nwXGjBmSSlZ7Cmp1qrCIi0tUUdp1g2ZZiBvRJZfzgrIPjksyYNrwvH+3aT219fQJrJyLS+yjs4qyk\nopoNu8uYNXYASWYfmzZ1eD8qa+rZvKciQbUTEemdFHZxtnlvBQ5MH9HvE9MmDs0mJclYq1OZIiJd\nSmEXZ4X7KkkyGNI3/RPT0lKSmDg0mzU79qlnFRGRLqSwi7Nd+6sYlJ1OSlLTu3ba8H4UV9Swa39V\nF9dMRKT3UtjFWeG+SoY1cVTXYMqIvgDqQkxEpAsp7OKopq6eovJqhvbLaLZMv4xURuRksGF3WRfW\nTESkd1PYxdHu/VU4MKyFsAMYO6gP24oPqK9MEZEuorCLo137KgEY2sJpTIAxA/tQXVt/sLyIiHQu\nhV0cFe6vItmMwdmthV3kZvOtRbrfTkSkKyjs4mjXvkoGZaeRnGQtlhvQJ5Xs9BS27lXYiYh0BYVd\nHBXur2r1eh2AmTFmYB8d2YmIdBGFXZwcqK6juLyaof1aPoXZYMzAPuwtr2Zvme63ExHpbAq7OMkr\nLIu0xOzb+pEdRMIOYPnWkk6slYiIgMIubhqeUxfrkd3IAZkkGSzfWtyZ1RIRERR2cfPRrv0kJxmD\nsmILu9TkJHL7Z7J8i8JORKSzxRR2ZjbHzNaZWZ6ZXdfE9HQzeyyYvtjMxkVN+1Ewfp2ZnRWMG21m\nfzezNWa2ysyujdcGJcpHu/YzJDu91ZaY0cYM7MP7+SXU1On5diIinanVsDOzZOB3wNnAdOAiM5ve\nqNiVQLG7TwR+A9wSzDsdmAfMAOYAdwTLqwW+6+7TgOOAq5tYZo/y0a6ymE9hNhgzsA+VNfWs3bG/\nk2olIiIQ25HdMUCeu29092rgUWBuozJzgfuD4SeA083MgvGPunuVu28C8oBj3H2Huy8HcPf9wBpg\nZMc3JzEqqmvZXnKAoTE2TmnQ0Ehl2ZaizqiWiIgEYgm7kcC2qPf5fDKYDpZx91qgFBgUy7zBKc8j\ngcVNrdzMrjKzpWa2dPfu3TFUt+ttLz4AwKCstDbNl5OZyvB+GWqRKSLSyWIJu6YuQjXuwbi5Mi3O\na2bZwF+A/3D3Jp954+53uvtsd589ZMiQGKrb9fKDsOvfJ7VN85kZs8b2V4tMEZFOFkvY5QOjo96P\nAgqaK2NmKUAOUNTSvGaWSiToHnL3J9tT+e4ivyQSdgP6tO3IDmDWmAHkFx+gUJ1Ci4h0mljCbgkw\nyczGm1kakQYnCxqVWQBcEQyfD7zm7h6Mnxe01hwPTALeDa7n3QOscfdfx2NDEim/uIK05CSyM1La\nPO+ssQMA3W8nItKZWg274BrcNcCLRBqSPO7uq8zsRjM7Lyh2DzDIzPKA7wDXBfOuAh4HVgMvAFe7\nex1wInAZcJqZrQhe58R527rM9uID5PbPIMliv+2gwYzcfqQlJ+m6nYhIJ4rpUMTdnwOeazTuZ1HD\nlcAFzcx7M3Bzo3Fv0vT1vB4pv/gAIwdktmve9JRkDhuVwzLdXC4i0mnUg0ocbC85wKj+fdo9/6wx\n/flweylVtXVxrJWIiDRo+0Um+ZjKmjp2769q95EdRBqp3PXGJlYV7GPWmAFxrF339PDirc1Ou/jY\nMV1YExGB3vE3qSO7DioIWmKO6kjYNTRS0alMEZFOobDroO1B2I3s3/6wG9Yvg5H9M3lPjVRERDqF\nwq6DGm4oHzWw/dfsIHJ0p0YqIiKdQ2HXQduLD5CcZAzr27ZOoBs7akx/du6rPHikKCIi8aOw66D8\n4gpG5GSQktyxXTl73EAAlmxSp9AiIvGmsOug7SUHOnS9rsG0Ef3ol5HC2xv2xKFWIiISTWHXQfnF\nBxg1oGPX6wCSk4zjDhnEOxv3xqFWIiISTWHXAdW19ezaV9mhe+yiHT9hENuKDrCtqCIuyxMRkQiF\nXQfsLK2k3jt2j1204ycMAtDRnYhInCnsOiC/JHIENioO1+wAJg/ty6CsNBZtUNiJiMSTwq4DGu6x\ni9dpzKSo63aRJySJiEg8KOw6YHvxAcxgRE58wg4ipzJ3lFayea+u24mIxIvCrgPyiw8wrG8GaSnx\n240Hr9vpVKaISNwo7Dpge0lF3BqnNDhkcBZD+6arkYqISBwp7Dpge0n7H9raHDPjhAmDeGeDrtuJ\niMSLwq6d6uqdnaWV5MapJWa0EycOZk9ZFasK9sV92SIivZHCrp32lFVRU+edEnafnjoUM3htbWHc\nly0i0hsp7Nqp4aGtuTkZcV/24Ox0Zo7uz6trdsV92SIivZHCrp0KSioBOuXIDuD0qUN5P7+Uwv2V\nnbJ8EZHeRGHXTgeP7Dop7E6bOgyAhWt3d8ryRUR6k5REV6CnKig9QFZaMv0yOmcXvre1mJzMVO57\nezO19f9slXnxsWM6ZX0iImGmI7t2Kig5QG7/TMysU5ZvZkwd3pe8wjJq6uo7ZR0iIr2Fwq6dCko6\n57aDaFOH96W6rp5Ne8o7dT0iImGnsGunyJFd/FtiRjtkSDapycbanfs7dT0iImGnsGuHypo69pZX\nkxvHDqCbkpqcxMQh2azZsU+9qYiIdIDCrh12lHbubQfRpufmUHqghu1B608REWk7hV07NNx2MKKT\nT2MCTBvelyRDXYeJiHSAwq4dGsJuZBcc2fVJT+GQwdms3F6qU5kiIu2ksGuHht5ThndCV2FNmZ7b\nj73l1RTur+qS9YmIhI3Crh0KSg4wODud9JTkLlnf9Nx+GLCyoLRL1iciEjYKu3YoKD3AyC64Xteg\nX0YqYwb2YbWu24mItIvCrh0aek/pSjNy+7GjtJIte3WDuYhIWyns2sjdKSipZEQn32PX2IzcHABe\nWLmzS9crIhIG6gi6jUoqajhQU9fpvac0NiArjdz+GTy4aAt9M1I/MV0dRIuINE9h10YFpfG97eDh\nxVtjLntobg4vrd5F6YEacjI/GXgiidTcZ1lfxKQ70GnMNmq47WBEF1+zg0irTIDVapUpItImCrs2\n+udDW7v2NCbA0L4ZDOmbrt5URETaSGHXRgWlB0hLTmJwVnpC1n9obj827SmnrKo2IesXEemJFHZt\ntL34AMNzMkhK6pyHtrZmRm4ODqzdoaM7EZFYqYFKG20rPsCYgX0Stv4RORkM6JPKyoJSZo8bmLB6\nSDi01EBKDUskTGI6sjOzOWa2zszyzOy6Jqanm9ljwfTFZjYuatqPgvHrzOysqPH3mlmhma2Mx4Z0\nla17yxmdwLAzM2bk5rChsJzKmrqE1UNEpCdpNezMLBn4HXA2MB24yMymNyp2JVDs7hOB3wC3BPNO\nB+YBM4A5wB3B8gDuC8b1GPsqayiuqEnokR1EelOpc9cTzEVEYhTLkd0xQJ67b3T3auBRYG6jMnOB\n+4PhJ4DTzcyC8Y+6e5W7bwLyguXh7q8DRXHYhi6zragCIOFhN3pgH/pmpLBKtyCIiMQklrAbCWyL\nep8fjGuyjLvXAqXAoBjnbZGZXWVmS81s6e7du9sya9x1l7BLMmP6iH58tGs/1bX1Ca2LiEhPEEvY\nNdXssPFTRJsrE8u8LXL3O919trvPHjJkSFtmjbut3STsINIqs6bOWV+oU5kiIq2JJezygdFR70cB\nBc2VMbMUIIfIKcpY5u0xthZVkJOZSk6fxHfVNX5wFpmpybrBXEQkBrGE3RJgkpmNN7M0Ig1OFjQq\nswC4Ihg+H3jN3T0YPy9orTkemAS8G5+qd72tRYm97SBaclLkVOaaHfuordepTBGRlrQadsE1uGuA\nF4E1wOPuvsrMbjSz84Ji9wCDzCwP+A5wXTDvKuBxYDXwAnC1u9cBmNkjwDvAFDPLN7Mr47tp8bet\nqKLbhB3AjJH9qKqtZ0OhnnEnItKSmG4qd/fngOcajftZ1HAlcEEz894M3NzE+IvaVNMEq6t38osr\nOGvG8ERX5aAJQ7JJT0nq0a0yq2rqMDPSUtSZj4h0HvWgEqOd+yqpqfNudWSXmpzElOF9Wb1jH3X1\nTnKCujBrj7KqWt5cv4dFm/aSkZLEhUePYfzgrERXS0RCSl+nY7R1b/dpiRltRm4OFdV1vLup59yy\nuGJbCf/z4lreWL+bKcP6kpqcxN1vbOS1tYXU1bepsa6ISEwUdjHqLvfYNTZ5WDYpScaLq3Ymuiox\nKSg5wNMrtjMiJ5NrPzOJi44ZwzWfnsjho3J4Zc0ufvni2kRXUURCSGEXo61FFSQnGSMS8By7lqSn\nJDN5WF9eWLmT+m5+VOTu/PSvK6l358uzRzO0b2Rfpqcm8+XZo5k1ZgD3vrmJLXvV4EZE4kthF6Ot\nRRXk9s8gNbn77bIZuf3Yua+S9/NLEl2VFj374Q5eXVvIGdOGMTAr7WPTzIwzZwwjNTmJ/35eR3ci\nEl/d7z93N7W1m912EG3q8H6kJBkvdONTmSUV1Vy/YBWHj8rh+AmDmyzTLyOVb54ygedX7mTJ5p5z\nDVJEuj+FXYy62z120TLTkjlh4mBeWLmTyL383c89b25ib3k1/++Lh7XYavRfTj6E4f0yuOlvq7v9\naVkR6TkUdjEoq6plb3l1Qp9j15o5M4azZW9Ft3zsT0V1LfMXbeHM6cOYkZvTYtnMtGS+d9YU3s8v\n5aXV3fdIVUR6FoVdDLprS8xoZ84Yhhk8v7L7BcQTy/IpqajhX04+JKbyXzhyJCP7Z3Lf25s7t2Ii\n0mso7GLQnZ520JzB2ekcPW4gL6zckeiqfExdvXP3G5s4ckx/jho7IKZ5kpOMS48by6KNRXy0q/sd\nqYpIz6Owi0FDU/juHHYAnz1sBB/tKmPtzu7zJISXV+9ka1EF/3LyIUSe5xubC48eTVpKEvPf2dKJ\ntROR3kJhF4O1O/czrF86/fuktV44gc49IpfUZOMvy/ITXZWD7nx9I6MHZra5T9GBWWl87vARPLk8\nn7Kq2k6qnYj0FuobMwZrd+xn6vB+ia5GqwZmpXHa1KE89V4BP5wzlZQE3xO4fGsxy7eWcP2509vV\nb+flx4/jyeXbeWp5PpcdPy4udXp48dZmp1187Ji4rENEuh8d2bWipq6evMIypo7om+iqxORLs0ax\np6yK19fvTnRVeODtzWSnp3D+7NGtF27CzNH9OXxUDg+8s6Xb3lIhEmZVtXXsq6xJdDXiQmHXik17\nyqmuq2daDziyA/j01KEMykrjiQSfyizcX8mzH+7g/KNGkZ3e/hMIlx03lvWFZT2qo2uRnq6ypo7X\n1hZyywtrOe1//9GjHyPWQGE8WAXAAAAZe0lEQVTXijU7Io09esqRXWpyEufNzOWV1YWUVFQnrB6P\nvruNmjrn8uPHdmg5nzs8l74ZKTzybvOnH0UkfvIKy/ifF9fxyppdjBuURWqyMe+Pi1i8cW+iq9Yh\numbXirU795OabBwyODvRVYnZl2aN4k9vbeaZD3Zw2XFNh01nXruqqavnocVb+NTkIRwypGP7LTMt\nmS8eOZJHlmzj5+XVDMjq3o2ERHqymrp6nnovn6z0ZL564jhGDejDqVOGcNk9i7ns3ne554rZnDxp\nSKKr2S46smvFmh37mDAku0c9SXtGbj+mDu/LI4u3JuRa14urdrJrXxVfOaFjR3UNLjp2DNW19Tz5\n3va4LE9EmvZW3h6KK2qYO3MkowZEbrXK7Z/Jn795AmMG9uGnf11JbV19gmvZPj3nP3iCrN2xn2kj\nesb1ugZmxtdOHM/qHftY+FHXN1S5/+3NjBnYh1MmD43L8qYO78foAZn8YeEGHlq0hYcXbz34EpH4\n2HeghoXrdjN9RD8mNDojMzArjR+cNYXNeyt4ekVBgmrYMQq7FhSXV7NzXyVTh/eM63XRPh90uXXb\nq+u79Ohu2ZYilmwu5ooTxrXrdoPmHDN+ELvLqtgcPDFeROLrpdU7qXPn7EObvif2jOnDmD6iH7e9\ntr5HHt3pml0LGjpVntrDjuwA0lKS+OYph/DTp1fxzsa9nNDMY3Xi7Y6/b2BAn1TmHd2+2w2aO1o7\nbGQOz35YwJLNRYwfnNWRKopIIwUlB1i+tYRPTRrMoOz0JsuYGdd+ZhLfmL+Mp1cU8KWjRnVxLTtG\nR3YtaOh2a1oPaYnZ2AWzRzO0bzq3v5bXJetbXbCPV9cW8tUTx5PVgdsNmpKWksTM0QP4cHsp+0Ny\n349Id/FW3h7SUpJavfRwZnB0d/vf83rc0Z3CrgVrd+xnUFYaQ5r5ptPdZaQmc9WnDuHtDXtZtqXz\n71P7/T82kJWWzBVx6u2ksRMmDKK+3nmnhzeBFulO9pRV8cH2UmaN6U9mWnKLZRuO7jbtKefZD7tX\np/OtUdi1YO3OfUwd0bdNHRh3NxcfO4ZBWWnc8Mxqajrxm9imPeU8+0EBlx4/lpw+qZ2yjsHZ6Uwb\n0Y/FG4uoru1Z3ypFuqtHFm+lrt457pBBMZU/Y9owxg/O4oEe1km7rtk1o67eWbdrP5ccG5/m84nS\nJy2Fmz5/KP/60HJ++8pHfP+sqZ2ynjv+nkdKchJXnjT+4LjOaC158qTBrN6xj2Vbiji+i65DSuyK\ny6tZuqWIvMIystNT6J+VRlZ6MucdkdujvzSGVU1dPQ8u3sKkodkM7ZsR0zxJScYlx47hpmfXsLpg\nH9Nze0abBh3ZNWPL3nIqa+p7ZEvMxs4+bAQXzh7NHQs3dEovCMu2FPPnZflccfzYmP9g2mvsoCzG\nDOzDm3l7qKtXf5nx5u5s2lPOh9tLeXrFdv72QQF7yqpaneedDXu57+1N/O9L61i4bjdmRlFFNcu2\nFHPtoyv47p/fp7Kmrou2QmLVcE/s8TEe1TU4/6hRpKck8eDinnN0pyO7ZjT0xXjE6P4Jrkl8/Ozc\n6SzetJfvPP4+z33r5Lgtt6aunn97aBk5mank9s/sknvfTp40mIcWb2X1ju7z3L4wKCqv5ukV21lf\nWAZwsIs2M5g9dgCnTR3GUWMHcNjIHFKTjS1FFazcXsr9b29m+dYSstNT+PTUocweO+Dg47Dcnb3l\n1fz65Y/YvKecP142myF9e+Y18DBquCd2chu/1Pfvk8Z5R+Ty1/e286Ozp9I3o3MuXcSTwq4ZC9ft\nZkROBpOG9pxuwlqSlZ7Cb+cdyQV/eJuL7lrEeTNz6ReHD+jdb2xi174qLjtuLOkpLV/cjpdpI/ox\nKCuNV9fsoqZuBqkJfpRRGCzauJfnV+7AzPjsYSOYMCSbuUfmUlZZy2trC3lp9S5ueWEtEHmSfHKS\nHbxuOrJ/Jv81dwb1zid+F2bGt06fxMSh2Xzn8RVccvcinr76pFYbQkjnW7m9lCWbi/nPz04jqR2n\nmC87fix/XpbPU+9t5/JOapQWTwq7JtTU1fNW3h4+d8SIUF1nmDm6P3dfcTT/+uAy/viPDXz1hPEM\n7sC37K17K/i/Vz9iRm6/Lu1lJsmMcw4bwfxFW7j3zU1845QJXbbuMFq+tZgF7xcweVg2n5858uBR\nWUMvGkeM7s+3z5jMnrIqVmwtYcW2Eqrr6pk8rC+Th2UzbUQ/UpOTWjyqP+ewEWSnp3D5ve9y07Or\nufkLh3XJtknz7n97M5mpyVwwezTPftD2lpWHj4o8gmv+O1u47Lix3f5/pb4SN2HZlmL2V9XGrbur\n7uSUyUN49KrjqK6t5w+vb+D9bSXt6mFlT1kVX39gCSlJSXzu8NxOqGnLpo3ox7ThffntK+vJL1av\nKu21ZW85T723nUOGZHHZceMOBl1TBmen85npw/jeWVP48TnTOP+oURw+qn/MR9afmjyEb3zqEB5a\nvJUXVvasZuthU1RezdPvF/DFWSPJyWz/GZ5Lg0dwvbOh+98OpLBrwsJ1u0lJMk6c2LaLtj3F4aP6\n881TJjCgTxqPLd3G3W9uYte+ypjnLyqv5tK7F7O1qIK7Lp/doT+WjvjcEZGQvX7B6oSsv6fbVlTB\ng4u20D8zlYuPGRPX7t2a890zp3D4qBx++JcPKSg50Onrk6Y98u5Wqmvr+coJ4zq0nPOOyGVwdhp3\nvrExPhXrRAq7JixcV8jscQN6xEXX9hqUnc6/njqBuTNz2Vlaya2vrmf+O5vZuLusxSO9TXvKueTu\nxWzaU849VxzN8RMS94VgQJ80rv3MJF5Zs4unV+iJCG1RU1fP1Q8vp86dy48fR5+0rrmikZaSxK3z\njqS2rp4fPPGBnkCfALV19Ty0aAsnThzEpGEda22ekRrpRGLhut2sC7pX7K4Udo3sLK1k7c79oTyF\n2ViSGceOH8R3zpjMqVOGsqWogrvf3MTpv/oH1y9YxWtrd7Fmxz5Wbi/ljfW7ueqBpZz2q4Vs2lPG\nXZfP5sSJib/P7cqTxjNrTH++/dgK/rx0W6Kr02Pc9up6Psgv5UuzRnV568hxg7O47uypvJm3hyeW\n5XfpugVeXr2LgtLKuPV0dOlxY8lMTebubn50pwYqjbwePBLn1Ck98wGFjcVyK0BWegpnTB/GqVOG\nsGJbCUXl1Ty6ZCv3vb35Y+VyMlO55tMTufz4cd2m+XhqchLzrzyWb8xfxvef+ICSihq+fvL4T1ws\nd3fyCstYvGkvZZW1OGBE7ts7ZEhWu1qj9VTLtxbzu4Ub+NKsUczIzUlIHS45diwL3i/gpmfXcOqU\nod3m8xR27s6f3trMqAGZnD5tWFyWOSArjS/PHsXD727l+2dNYWi/zr3Xtr0Udo0s/KiQ4f0yQnEz\neVulJidx9LiBXHzsGCpr6li+pZh9lTUkmZGaksSx4wd22emutshKT+Ger8zm24+t4Obn1nD3mxs5\nceJgZuTmkF9cwYbd5azcXkpReXWT8w/MSmP22AF8/sjcbrl98VRRXct3HlvB8H4Z/Py86fzt/cQ0\nFElKMv7fFw/nnP97g+sXrOJ3l8xKSD16m4XrdvPu5iJuOG9GXK/Rfu2k8cxftIU/vb2ZH87pnF6a\nOircf9ltVFlTxxvr93DOoeG65aA9MlKTOaEbnKaMVXpKMrddNItPT8ln4Ue7+fvaQp5cvp3M1GQm\nDM3i01OGcuz4gezaV8mArDQMqK13VhXsY8nmIl5avYtzb3uT2y6a1WO6P2qPG59ZzZaiCh75l+Pi\ncp9lR0wcms23Tp/I/770EZ/9cAfnHDYiofUJu9q6en7x3BrGD87i4mPHxHXZYwdlMefQ4Ty4aAtX\nnjSewd2w83yFXZQHF21hf2UtX5g1MtFVaTM9tTtys/MFs0dzwezR1Nc7e8qrGJyVTlLUN9jo/ZSa\nbMwc3Z+Zo/uTV1jG3z4o4PN3vMVPzpnG5cd3//uG2uqp9/J5dMk2/u3UCTF3+tvZvnHKBF5evYvr\n/vIBh43MYfTAPomuUmg9vjSf9YVl/PGyozqlI4bvnDGZl1fv4hfPruHXF86M+/I7Sg1UAmVVtdyx\ncAMnTRzcbf4RSPslJRlD+2Z8LOhaMnFoNs9fezInTRzMzxes4sdPfdipT4noanmFZfzkqZUcM34g\n3zljcqKrc1BqchK3XTQLd7j20fdCtc+7k7KqWn798kccM24gZ06Pz7W6xiYO7cs3PjWBJ9/bztsb\n9nTKOjpCYRe4981NFJVX872zpiS6KpIgg7LTufvy2Vzz6Yk88u42vnbfEvaF4EGxB6rruPqh5WSm\nJnPbRUeS0s26VxszqA+/+OJhLN9awm9e/ijR1Qml215dz56yKn782WmdesbimtMmMmZgH/7zqZVU\n1Xavjr+716c+QUoqqrnr9Y2cMX0YM0PS8bO0T1KS8b2zpvDL8w/nnQ17+eIdb5MXdIzcE1VU1/K1\n+5awvnA/v7lwJsO6aUu5c4/I5aJjIk/meGyJTsnH09MrtvPH1zdy0TGjO/3/W0ZqMjfOncHGPeX8\n7rW8Tl1XWynsgN8v3EBZdS3fPbP7nN6RxPry7NE8cOUxFJdXM/f2N3muhz2VGf4ZdIs37eXXX57J\npyZ379tpfn7uDD41eQg//MuHPLio5zw6pjtbsrmI7//5A44dP5Abzju0S9Z56pShfOHIkdz6Wh73\nN7p9KZF6ddi5O3cszOOPr2/kS7NGMXV4eFvhSdudMGEwf/vWSUwa1pd/e2g5P37qw2ZvX+hudpQe\n4Cv3LuHdTUX85sKZfP7I7t/oKiM1mTsvO4rTpg7lP/+6krte30i9nlnYbmt37uOqB5YyakAmf7zs\nKNJSuu7f/S1fOpwzpg/j5wtWce+bm7psvS2JaevNbI6ZrTOzPDO7ronp6Wb2WDB9sZmNi5r2o2D8\nOjM7K9Zldrb6eueGZ1bzyxfWcd4RufxCvbBLE0bkZPL4N47nypPG89iSbZz6P3/n7jc2dtsHkdbW\n1XPPm5v4zK/+wfv5JfzmwpnMndn9g65BRmoyf7j0KM6aMYybn1vD+X94m5XbSxNdrR6lqraO377y\nEefd9hbJSca9Xzm6xQ6+O0NaShJ3XDKLOTOGc+PfVnP9glXs3t/yQ4A7W6u3HphZMvA74AwgH1hi\nZgvcPbr33SuBYnefaGbzgFuAC81sOjAPmAHkAq+YWcO5wtaW2SkKSg7w7Ac7eOq97azesY8rTxrP\nT86ZFnOrPel90lKS+OnnpnPh0aP5r7+t5qZn1/B/r6znrEOHc+4RuRw5pn9C71lzd9bu3M/zK3fy\nt/cL2LinnFOnDOHG8w5lzKCe15Q/LSWJ319yFE8sz+eXL6zl3NvfZM6M4Zw1YzinThnS5f+4e4rN\ne8p5Zc0uHl2yjbzCMubOzOWnn5uesHveUpOTuO3iI7nhmVXMX7SFR5ds5dJjx3LG9GFMy+3X5X8z\nsdxndwyQ5+4bAczsUWAuEB1Mc4Hrg+EngNst0uRnLvCou1cBm8wsL1geMSwz7v701iZueCayisNH\n5fDL8w/ny7NHd+YqJUQmD+vLA187hnc27uXJ5dt5ceXOg307jhqQyaSh2QzOTmdgdhr9MlJJSTJS\nkpNIS478TEmyZlvCtdQhsgNVtfVU1dRxoLqOAzWRV2lFDZv2lrNpTzklFTUkGRw9biDfP2sKcw4d\n3qPvE0xKMr48ezRzDh3O7a/l8eTy7Ty/cifJScbYgX0YPbAPowdmkp2eSnpKEumpSWSkJJOemkRq\nchJNbXlT+6PpcrGNA4j+tTUM+8H3/5zojQacqGmfmC9qmcHY6HG1dfVUBJ+F3fur2F5ygM17y9lW\nFHmKxNThffnTV47m01MT379vanISN33+ML5+0iHc+tp67n1rE3cHpzVHDcjk7itmd9nlI2ut13Ez\nOx+Y4+5fD95fBhzr7tdElVkZlMkP3m8AjiUSgIvc/cFg/D3A88FsLS4zatlXAVcFb6cA69q3qV1i\nMND9bjDpetoPEdoPEdoP/6R9ERHP/TDW3VttfRXLkV1T32kaJ2RzZZob39S1wiZT193vBO5sqYLd\nhZktdffZia5Homk/RGg/RGg//JP2RUQi9kMsDVTygehzfaOAgubKmFkKkAMUtTBvLMsUERGJi1jC\nbgkwyczGm1kakQYnCxqVWQBcEQyfD7zmkfOjC4B5QWvN8cAk4N0YlykiIhIXrZ7GdPdaM7sGeBFI\nBu5191VmdiOw1N0XAPcA84MGKEVEwoug3ONEGp7UAle7ex1AU8uM/+Z1uR5xurULaD9EaD9EaD/8\nk/ZFRJfvh1YbqIiIiPR0vboHFRER6R0UdiIiEnoKuzhIdNdniWBmm83sQzNbYWZLg3EDzexlM1sf\n/BwQjDczuzXYPx+Y2azE1r79zOxeMysM7i1tGNfm7TazK4Ly683siqbW1Z01sx+uN7PtwWdihZmd\nEzWtW3Yb2FFmNtrM/m5ma8xslZldG4zvVZ+JFvZD9/lMuLteHXgRaWCzATgESAPeB6Ynul5dsN2b\ngcGNxv0SuC4Yvg64JRg+h0hnAgYcByxOdP07sN2fAmYBK9u73cBAYGPwc0AwPCDR2xaH/XA98L0m\nyk4P/i7SgfHB30tyGP52gBHArGC4L/BRsL296jPRwn7oNp8JHdl13MHu1Ny9Gmjo+qw3mgvcHwzf\nD3w+avwDHrEI6G9mIxJRwY5y99eJtDiO1tbtPgt42d2L3L0YeBmY0/m1j59m9kNzDnYb6O6bgIZu\nA3v8346773D35cHwfmANMJJe9ploYT80p8s/Ewq7jhsJbIt6n0/Lv+SwcOAlM1sWdOkGMMzdd0Dk\nww80dM4X9n3U1u0O8/64Jjg9d2/DqTt6yX6wyNNejgQW04s/E432A3STz4TCruNi6U4tjE5091nA\n2cDVZvapFsr21n3U1m70errfAxOAmcAO4FfB+NDvBzPLBv4C/Ie772upaBPjQrMvmtgP3eYzobDr\nuF7Z9Zm7FwQ/C4GniJx+2NVwejL4WRgUD/s+aut2h3J/uPsud69z93rgLv75hJNQ7wczSyXyD/4h\nd38yGN3rPhNN7Yfu9JlQ2HVcr+v6zMyyzKxvwzBwJrCSj3cbdwXwdDC8ALg8aIl2HFDacIonJNq6\n3S8CZ5rZgOC0zpnBuB6t0XXYLxD5TECIuw00MyPSg9Qad/911KRe9Zlobj90q89EolvxhOFFpIXV\nR0RaEf0k0fXpgu09hEgrqfeBVQ3bDAwCXgXWBz8HBuONyMN6NwAfArMTvQ0d2PZHiJyOqSHyLfTK\n9mw38DUiF+XzgK8mervitB/mB9v5QfAPakRU+Z8E+2EdcHbU+B79twOcROQ02wfAiuB1Tm/7TLSw\nH7rNZ0LdhYmISOjpNKaIiISewk5EREJPYSciIqGnsBMRkdBT2IlIpzOzU83shETXQ3ovhZ2IdIVT\nAYWdJIzCTno1M7s86LfvfTObb2ZjzezVYNyrZjYmKHefmf0+eIzJRjM7Jejrb42Z3Re1vDIz+5WZ\nLQ/mHxKM/xczWxKs5y9m1idqubea2dvBcs8Pxs83s7lRy33IzM5rZhtmmNm7wSNUPjCzScH475jZ\nyuD1H8G4cUGd77LIo1heMrPMYNrRwfzvmNn/WNTje5pYZ7KZ/a9FHvP0gZn9ezB+s5ndEGz/h2Y2\nNegr8ZvAt4M6ntzuX5hIeyX6ZkS99ErUC5hB5IbWwcH7gcAzwBXB+68Bfw2G7yPSA7sR6YV9H3AY\nkS+My4CZQTkHLgmGfwbcHgwPilrvTcC/Ry33z8FyphPp8R3glKh15wCbgJRmtuO2qHWmAZnAUURu\n5s0Csonc/H8kMA6ojarv48ClwfBK4IRg+L+JenxPE+v8VyJdQ6U07Lvg5+aobfs34O5g+HqaeNSL\nXnp11UtHdtKbnQY84e57ANy9CDgeeDiYPp9IzxANnnF3JxIiu9z9Q4/0+beKSIgA1AOPBcMPRs1/\nqJm9YWYfApcQCdoGf3X3endfDQwL6vIPYKKZDQUuAv7i7rXNbMc7wI/N7IfAWHc/EKz3KXcvd/cy\n4Emg4Yhqk7uvCIaXAePMrD/Q193fDsY/TMs+A/yhoU7BvmvQ0D/ksqj9IpJQCjvpzYzWe1SPnl4V\n/KyPGm54n9LK/PcB17j7YcANQEYTy22oU4P5RILxq8Cfmq2g+8PAecAB4EUzO63RchqLXl9dUPeW\nyjelpX3XsPyGZYsknMJOerNXgS+b2SAAMxsIvE2k81mIBM2bbVxmEnB+MHxx1Px9gR1Bz/CXxLis\n+4D/AHD3Vc0VMrNDgI3ufiuR/gcPB14HPm9mfYLOur8AvNHcMjzywND9QefE8M990JyXgG+aWUpQ\nh4GtlN9PZB+IJIS+dUmv5e6rzOxm4B9mVge8B3wLuNfMvg/sJnJU1RblwAwzWwaUAhcG439K5GGW\nW4icBm31H7+77zKzNcBfWyl6IXCpmdUAO4Eb3b0oaDjzblDmbnd/L2gs0pwrgbvMrBxYGNS/OXcD\nk4EPgvXeBdzeQvlngCeCRjf/7u7NBq9IZ1BH0CJxZGZl7p4dp2X1IRKMs9y9peCJCzPLDq7vYWbX\nEemh/trOXq9IV9BpTJFuyMw+A6wFbuuKoAt8Nrg1YCWRxiw3ddF6RTqdjuxEeggzOwu4pdHoTe7+\nhTCtU6QzKOxERCT0dBpTRERCT2EnIiKhp7ATEZHQU9iJiEjoKexERCT0FHYiIhJ6/x9sBto7LvJh\nQgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x14c8cb155c0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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fZpaB7D6hB8uYmdUfB8IK+jJYBgov53UgNDOrNw6EFfTlNUzgQGhmVq8cCCvo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\n2Nbmg9KPm5U9QjEc3aMj56/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      "text/plain": [
       "<matplotlib.figure.Figure at 0x14c8cecf7f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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i0h1iHWqFgrNuW5bBfWu7/FojB/UJuiDnqQtSRGRfFetQ27A9S77g1Pfr+nVJ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\nRCThIh25c/eZwMyyZVeX3G4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      "text/plain": [
       "<matplotlib.figure.Figure at 0x14c8cc6eb00>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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xwOqM9/VhXIfzuHsbsA0YBRwOuJndb2bPmtnXe19kERGRjhXnMI91MM5znKcYeAdwIrAL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\nicOp37Kbb9yxhJv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      "text/plain": [
       "<matplotlib.figure.Figure at 0x14c8cfbe978>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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iItLh4gmEQ4DymL8rwrRm87h7HbALKGxl37bKvMvMFpvZj80sN446ioiIHJJ4AqE1k+Zx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\njxnEX97d1GWmWVQgTEP3v7a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      "text/plain": [
       "<matplotlib.figure.Figure at 0x14c8d0a6898>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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AEfBAtK6INe5+nrtXmtl/EyVkgBvcvfIjvCciIiJtsuhgb/9SXl7uc+fOTXU3OtQ9s9a0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\nmNl5odrtQKmZLSe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      "text/plain": [
       "<matplotlib.figure.Figure at 0x14c8cc6eda0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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YbHj9BHiff/t9wI9LU46ITJVzbsyTlDXmJWFQzFT5e4CngNPMrNXMbgE+D7zBzLYCb/Dv\ni0gADGYczqGp8hJqsfE2cM5dN8pTry9xLSJSAsl0BkCzDSXUtMKGSMjkln8qdJ6X1/LSbEOpfAov\nkZAZCq/RLkapbkMJgXG7DUWkMty9djcAHd1JANbvOkImC9df2DK0TSIaJZN1ZLKOaMTKUqdIKajl\nJRIyg1mvZRWLFGh5xbzA0qQNqXQKL5GQSftjWrHo8S2rRNT7lVd4SaVTeImETDrrh1ehlpcfXppx\nKJVO4SUSMmm/2zBeqOUVy7W8NONQKpvCSyRkhroNx2h5qdtQKp3CSyRkhroNC7S8cq0xTZeXSqep\n8iIhk87kZht6QZWbQg/w4t6jADzw7F6WzKkZNo1epJIovERC5thsw+M7VnKBlvFbZ/nBNpKCTYJM\n3YYiIZM7zyte4CTk6IjwEqlUCi+RkBmr5ZULr7TCSyqcwkskZHJT5Qst/zSy21CkUim8REImnXFE\nrHB4Rf3p8wovqXQKL5GQSWddwXO8QGNeEh4KL5GQGcxkC57jBRrzkvBQeImEjNfyKhxeGvOSsFB4\niYRMOpMtONMQ1G0o4aHwEgmZsVpex8JLy0NJZVN4iYRMOuOGFuAdSWNeEhYKL5GQSY0xYUNjXhIW\nCi+RkOlPZahNFF62NKLwkpBQeImETG8qTV0iWvC5iBkRU3hJ5VN4iYSIc46+5OgtL/DGvTTmJZVO\n4SUSIsl0loxz1FUVbnmBd4Vltbyk0im8REKkL5UBoG6clpfCSyqdwkskRHqTaQBqx2h5KbwkDBRe\nIiHSm/LCa6yWVyxiQ5dNEalUCi+REOlLet2GtaPMNgS1vCQcphReZvaXZrbRzF40s3vMrLpUhYnI\nxA21vKo05iXhNunwMrNlwEeANc65s4AocG2pChORietLZYiaURUb/Vc7GjEyTuEllW2q3YYxoMbM\nYkAtsG/qJYnIZPUm09RWRTErvDwU+GNemePDqy+Vps9vuYkE3aTDyzm3F/hfwG5gP3DUOfdQqQoT\nkYnrTWXGnKwBo3cb3reulR+sb52u0kRKairdhnOBdwAnAkuBOjO7scB2t5rZOjNb197ePvlKRWRc\nfcn0mJM1YPRuw87+FB09yekqTaSkptJteDWw0znX7pwbBO4HXjtyI+fcbc65Nc65Nc3NzVM4nIiM\npzeVoXaMyRoA0VFW2BgYzNI9oG5DqQxTCa/dwEVmVmteB/vrgc2lKUtEJqNvjEV5c0Yb8+ofzJBM\nZ0mldQ6YBN/Y/0Ubg3NurZn9AHgGSAPPAreVqjAROd7da3eP+lzWOfpTmTGnyUPhbsNM1g2FVvfA\nIPPrq6ZerMg0mnR4ATjn/gH4hxLVIiJT0J/K4Bj7BGUoPGFjYDAzdLtrIK3wksDTChsiIZFb17CY\n2YYjL4mSH17dA4OlL06kxBReIiHR668oP9aivOCNeWVGrG3YnxdePUlN2pDgU3iJhERfEYvyQuFu\nw/5hLS+FlwSfwkskJHKL8hY1YeO4bsNjLTF1G0olUHiJVBg3yrqEuUV5i5mwkXXe7MScAb/LsaE6\nppaXVASFl0gFWb/rCJ/7z02s33XkuOd6k2kS0Qjx6Ni/1rGI93x+6yvXbbiwoUrhJRVB4SVSAQYG\nM3z8h8/zw2dayWbhwef2cbg3NWybvlRm3Mka4LW84PjwihjMr6uiS92GUgEUXiIV4AN3rOPe3+/h\nylOb+YvXn0IkAvet3zOs6683lR53sgYcC6/86fIDgxmq41EaqmP0pTK60rIEnsJLJOC6BgZ5clsH\nf/66k3jjmYuZW5fg7WcvZdehPp7c2jG0XV8qQ10RLa/YKC2vmniUhuo4AD3qOpSAU3iJBNyW/d0A\nrDlh3tBj56xo4syljTy8uY0jfV73YW8yTe0EWl6ZUVpeoOnyEnwKL5GA27y/C4DVSxqHHjMz3nLW\nEjJZx/OtRwG/5TXOTENgaEJH/gK8/akMNQmFl1QOhZdIwG3a18W8ugSLGoevNzivLsGKuTW80NpJ\nOpMlmc6OezkUgHp/m+7ksYkZA4NZv+UVP+45kSBSeIkE3OYDXaxe0oB35aHhzl7exL6jA+w63AeM\nf44XQGOuddV/rHU1MJihJh6hviqGoZaXBJ/CSyTA0pksLx3oZvXixoLPn7VsDgY8veMQMP7SUMCx\n1lXelPh+f8wrGjFqq2JaZUMCT+ElEmA7O3pJprOcsbRweM2piXPC/Do27fPGxcZbGgogEYtQHY/Q\n5beuBjNZ0llHTdxrtTVqlQ2pAAovkQDbVGCyxkhnL59Dbt5gMd2GAA1V8aHWVe5yKNV+eGmJKKkE\nCi+RANu0v4t41DipuX7UbXJdh1Bcywu8gMq1vHJLQ+VaXvnBJhJUCi+RANu8v5tTFjaQiI3+q1pf\nFeOkhV645QJoPI01+S0vb8p8fsurJ5kmmy28ALBIECi8RAJs8/6uMbsMc65evYirVy8aOgF5PA1V\nXtegc45+f0X5Gr/Lsb46RtbB4b7UWLsQKavi+hhEZMa1dydp706yeknDuNu2zKulZV5t0ftuqImT\nzjoGBrN5Y17e/2VzsxEPdiVZUF816j5EykktL5GAyq2sMdpMw6nIraTRNTB43JhX7jywg90DJT+u\nSKkovEQCaii8iug2nKj8ZaCOn23ot7y6kyU/rkipKLxEAmrT/i6WzqmmqTZR8n035p2o3D+YIRax\noTUPc8HWrvCSAFN4iQTUhj2dnLVszrTse2TLK3+WYjwaIRGLHHexS5EgUXiJBNDB7gF2Hepjzcq5\n07L/qliUqljEH/PKDnUZ5iSiEfr8WYgiQaTZhiJlcPfa3aM+d/2FLax/5QgAr8m7hlep5VbSGEhl\nhmYa5iRiEfpTWmVDgkvhJRJA63YdIRGLcNay0k/WyGmojtM1MEg64467AnMiGqFXLS8JMHUbigTQ\nul1HOGd5E1Wx4lbMmIyhlpe/onw+r+Wl8JLgUniJBEx/KsPGvUd5zTSNd+U0VseHZhuOXFbKG/NS\nt6EEl7oNRQLmudZO0lnHmhOmN7waqmMMZhyDmcItL03YkCBTy0skYNbvyk3WmO7wig/dPq7lpfCS\ngJtSeJlZk5n9wMy2mNlmM7u4VIWJzFbrXjnMyQvrp+Xk5Hy5c73g+PCKa6q8BNxUW15fBv7LOXc6\n8Gpg89RLEpm9ss6xfteRae8yhGOrbABUJ0aOeZmmykugTXrMy8wagcuBmwCccylAp+SLTEF7d5Ku\ngfS0dxnC8JbX8ed5RekbzOCcw6y4y6yIzKSpTNhYBbQD3zazVwPrgb9wzvXmb2RmtwK3ArS0tEzh\ncCLh98oh79dn/9GBMU9kLoWqWIRENEIqky045uWcd6HKmsT0TdcXmaypdBvGgPOArzrnzgV6gY+P\n3Mg5d5tzbo1zbk1zc/MUDicSblnnWLvjMAvqE8yvm97xLgAzG2p9HT9V3mttabq8BNVUwqsVaHXO\nrfXv/wAvzERkEl7Ye5QDXQO8fvWiGeuqy4VXoanygCZtSGBNOryccweAPWZ2mv/Q64FNJalKZJbJ\nZB2PbG5jUWMVr5qmleQLyU2XPz68vPsKLwmqqZ6k/GHgu2aWAHYA7596SSKzz4Y9R+joSXHjhS1E\nZnCCRHNDFQ3VMaKR4cdUt6EE3ZTCyzm3AVhTolpEZqV0NssjWw6yrKmG1dNw1eSxXHFqMxesPH7l\n+rjfbaj1DSWotMKGSJlt2d9NZ98gV69eOOPT0uPRCI018eMer4qq21CCTeElUma7DvUSixgnLawv\ndylD4jEvRHvVbSgBpfASKbPdh/tY1lRDLBKcX8dEVN2GEmzB+W0RmYXSmSz7jg7QMq+23KUMo6ny\nEnQKL5Ey2tfZTybrWBHY8FK3oQSTwkukjHYf7gOgZX6wwisWiRCLmFpeElgKL5Ey2n24j6ba+LAV\n3oOiJhFVeElgKbxEymj34b7AjXfl1CaimrAhgaXwEimTzr4UXQPpwIZXXSKmqfISWAovkTIZGu8K\naHjVqOUlAabwEimTPYf7iEWMxXOqy11KQbUa85IAU3iJlMnuw30smxusk5Pz1SZi9A0qvCSYgvlb\nIxJyg5ks+zqDd3JyvtpElL6kxrwkmBReImXQ0ZMk4xzLmmrKXcqoNFVegkzhJVIGHT0pABbUV5W5\nktHVJqL0q9tQAkrhJVIGh3qSAMyvT5S5ktHVJWL0qttQAkrhJVIGHT1JGqtjVMWi5S5lVDWJKMl0\nlkzWlbsUkeMovETKoKMnxfwAdxmC120IqOtQAknhJVIGHT3JQI93gTdVHrSyvASTwktkhh3pTdGX\nyrAgwONdcKzl1ZdUy0uCR+ElMsN2HuoFgj3TEPLCS9PlJYAUXiIz7JWOygivGr/bsH9Q3YYSPAov\nkRm2s6OXiMHcuuBdwytfnVpeEmAKL5EZtqOjl7m1icCuaZhT44dXr8a8JICC/dsjEkI723sD32UI\nx2YbqttQgkjhJTKDnHPs7OgN/ExD0IQNCTaFl8gMautK0j+YCfwJyqCp8hJsCi+RGbSjowcI/kxD\nyD9JWeElwaPwEplBO4emyQe/2zAaMRKxCH0a85IAUniJzKCd7b1UxSI01gR7mnxOXSJKv1peEkBT\nDi8zi5rZs2b201IUJBJmOzt6OXFBHRGzcpdSlNpETFPlJZBK0fL6C2BzCfYjEno7/PCqFDWJqKbK\nSyBNKbzMbDnwB8A3SlOOSHjtOdzHzo5ezlnRVO5SilabiGrChgTSVFteXwL+GsiOtoGZ3Wpm68xs\nXXt7+xQPJ1K5HtrUBsCbzlxc5kqKV5uIaqq8BNKkw8vM3gYcdM6tH2s759xtzrk1zrk1zc3Nkz2c\nSMX7xYsHOH1xAysrqNuwNhHTbEMJpKm0vC4BrjGzV4B7gavM7K6SVCUSMu3dSX6/63BFtbrAG/NS\nt6EE0aTDyzn3CefccufcSuBa4FfOuRtLVplIiPxycxvOVVaXIUBtXFPlJZh0npfIDPjFxgO0zKtl\n9ZKGcpcyIXVVMXqT6jaU4ClJeDnnHnPOva0U+xIJm66BQX6zrYM3nbkIq5Dzu3K8qfJqeUnwqOUl\nMs0e3XKQwYzjzWdVVpcheN2GgxnHYGbUCcUiZaHwEplGzjm+9/s9NDdUce6KueUuZ8Jqq7Q4rwRT\nrNwFiFS6u9fuLvj49Re2cNfTu/jt9kN89h1nEolUVpch5F/TK82cClmPUWYHhZdIibR3J3nwuX1c\ntGoeZyydw5cefpmvPLqNUxfVEzUbNeSCTBeklKBSeImUyH9tPMC29h62tfdwxpJGOvtSJGIR3n3e\n8oqbqJFTE/fCS9PlJWgUXiIlsOdwH5v3d3HV6QuJRyM8srmNdNZx44UtNFRXbndbnT/mpenyEjQK\nL5ES+MWmA9Qlolx2ygKqYlFetWwOB7sHOH1xY7lLm5KaXLehpstLwCi8RKZo28EedrT38gevWkJV\nzPtjP68uwby64F8teTx1CX+2oRbnlYDRVHmRKXDO8dCmA8ypiXPhifPKXU7Jza3zujwP9ybLXInI\ncAovkSnYc7if1iP9XHbKAmLR8P06za+rImLQ3pMqdykiw4Tvt01kBm092A3A8rm1Za5kekQjxry6\nKtq71fKSYFF4iUzB1oM9ACxsqCpzJdOnuUHhJcGj8BKZgq1tPTRWx6j2z4cKowX1Cdp7FF4SLAov\nkSnYdrCbhY3V5S5jWjU3VNGhlpcEjMJLZJKyWcfWgz2h7jKEY92GzrlylyIyROElMkn7jvbTl8qw\nsCHkLa/6KlKZLF39WmVDgkPhJTJJs2GyBngtL0DjXhIoCi+RSdrWNsvCS+NeEiAKL5FJ2nqwmwX1\nVUMXbAyr5nq1vCR4FF4ik7T1YA+nLqovdxnTTi0vCSKFl8gkOOfY1tbDKQvDH15zauLEo6bwkkBR\neIlMQltXku5kmpMXNZS7lGlnZjTXa5UNCRaFl8gkvNzmrWk4G1pe4J/rpTEvCRCFl8gk5KbJz6bw\n0iobEiQKL5FJ2Hawm3l1CebXh3uafM6CerW8JFgUXiKTsLWth5NnSasLvJbXoZ4kmayWiJJgUHiJ\nTFA263jpQDenzYLJGjnNDVVkHRzu1UUpJRgUXiITtL29h+5kmlevaCp3KTNm6ERljXtJQCi8RCbo\n2T2dAJwzm8JL6xtKwCi8RCZow55OGqpjrFpQV+5SZoxW2ZCgmXR4mdkKM3vUzDab2UYz+4tSFiYS\nVBt2d/Lq5U1EIlbuUmbMAr/1OnruAAAVBklEQVTbsEMtLwmIqbS80sDHnHOrgYuAPzezM0pTlkgw\n9acyvNTWPau6DAHqqmLUJqJqeUlgTDq8nHP7nXPP+Le7gc3AslIVJhJEL+47SibrZl14wbErKosE\nQUnGvMxsJXAusLbAc7ea2TozW9fe3l6Kw4mUzYbd/mSNllkYXlrfUAJkyuFlZvXAD4GPOue6Rj7v\nnLvNObfGObemubl5qocTKasNezpZPrdmaAxoNtH6hhIkUwovM4vjBdd3nXP3l6YkkeDasKdzVp3f\nlU/dhhIkU5ltaMA3gc3OuS+UriSR8thyoIv+VGbU5w92D7C3s59zZ2t41VdxtH+QZHr0z0hkpkyl\n5XUJ8MfAVWa2wf96a4nqEplRG/cd5S1ffoL33vYUh0bpGhsa75qt4eWf63WwS60vKb/YZF/onHsS\nmD0nukio/fuj24lHImza18WbvvQEN1+ykqbaxLBtHtp4gIjBxn1dvNzWU6ZKy+esZXMAeGb3EVbM\nqy1zNTLbaYUNmfW2HezhZy/u5+KT5nPzJSfSkxzk64/voLPv2CK0qXSWDa2dLJ9bSzw6O39tVi9p\npKE6xtM7Dpe7FBGFl8hXH9tOVSzCJScvYOWCOj5w6Sr6BzPct76VrPMuAfLYSwfp7BvkTWcuLnO1\n5RONGBesnMfaHYfKXYqIwktmtz2H+3hgw16uu6CF+iqvF31pUw1vP3spOzt6eeLldtq7kzyxtYNz\nVzRx4ixaz7CQi1bNZ0dHL21dA+UuRWY5hZfMal9/fDsRg1svXzXs8fNamjhr2Rwe3tzGvb/fTTxm\nvPms2dvqyrlo1XwAnlbrS8pM4SWzVvfAID9cv5d3nbuMJXNqhj1nZrzznKU0VMfZf3SAN6xeREN1\nvEyVBscZSxtpqNK4l5TfpGcbilS6nz6/n/7BDNdd0FLw+dpEjBsvPIGN+45yod/imE3uXru74OPL\n5tZo3EvKTi0vmbW+v24PpyysH/O8rWVza3jjmYuJmM4KyTlxQZ3GvaTsFF4yK21t6+bZ3Z380ZoV\nmIJpQlYtqAc07iXlpfCSWem+9a3EIsY7z9VVfCZqSVO1xr2k7BReMusMZrLc/0wrV52+cGjJIyle\nxIwLTpynlpeUlSZsyKxy99rdbNrXRUdPikWN1aNOSpCxXXzSfB7ZcpDWI30sn6ulomTmqeUls4pz\njie3ddBQFePURQ3lLqdiXXGqd22+x1/uKHMlMlspvGRWeb71KK8c6uWq1QuJRjRRY7JOXljPkjnV\nPLFVV0eX8lB4yazRk0zz8xf3s6yphvNXzit3ORXNzLjslAU8ua2DdCZb7nJkFlJ4yazxvx/ZStdA\nmmtevVTnbZXA5ac20z2Q5rnWznKXIrOQwktmha1t3XzryZ285oS5uhZViVx68gIiBr/WuJeUgcJL\nQm9gMMOH73mWhurYrL6kSak11SY4e3mTxr2kLDRVXkLvMw9uZMuBbr79/vPZ36kljUrp8lOb+cqv\ntnK0b5A5tfExTz24/sLCa0iKTIbCS0Lt/mdaued3e/izK0/idact1HldJZL7HJODGbIOPv9fW3jV\nsjnDtulJphnMZIlFjOp4tBxlSogpvCSU7l67m72d/dz2+HZWzq9jyZwaBdc0WD63lup4hE37jg4L\nr437jnLP73aT9S5ETXU8wgUnzmP1ksYyVSphozEvCaUDXQN8+zc7qauKce35K3RO1zSJRozXtMzl\nudajQ8tFtXUNcN/6VpY21fDu85ZxzauXEotE+Oi9GxgYzJS5YgkLtbwkcI70pvj2b1/hu0/vormh\nitedvpCrVy/kvJa5Ra0Av729h28+uZNYxLjlkhNprNFFJKfTm89awqHeFA8+t49YxHh8azvxaIQb\nLjyBOf5nP7c2wR1PvcK//uIl/u5tZ5S3YAkFc87N2MHWrFnj1q1bN2PHk8rgnGPP4X7W7z7M73Ye\n4ccb9tKXyvD60xeyo6OXXYd6yTo4f+U8rnn10qFWVKEJAL/c1MYnfvQCfakMf3rZiSxsqJ7ptzMr\npdJZvv2bnew63EfE4JZLV3Higrph22w50MV3ntrFXbdcyKWnLChTpRJEZrbeObdmIq9Ry0vKIpN1\nPP5yO49saePRLe3s7ewHoL4qxhvOWMSfXXkypy1u4O61uxkYzPDYS+08vrWdI30prr+g5bgJAAeO\nDvCZBzfy8xcPcNqiBq67YLGCawYlYhH+5OKVfH/dHs5a1nhccAF84i2r+e32Q3zorvXcevkqbr70\nROqr9CdIJkctL5lxyXSG/373szy8qY2aeJSV82s5ZVEDJ8yvZVFj9airX6x75TAPbNjL3NoE550w\nl9MXN5DNwlM7Oniu9SgGXHX6Qi47pVljXAF0/YUt7Dncx+d+uomHNrUxvy7BdRe0cPmpzZyzoolE\n7NgQfGdfim89uZPnWo/ywStW8dqT1FILs8m0vBReUhIdPUl+/VI7Pck0bzlrMQsbC7d6+lJpPnjn\nep7Y2sGn3rqaP774BO5/Zm/Rx9ne3sMvNh6g9Uj/0GOJaITzTmji0pObmVeXmPJ7kemR38377O4j\nfOHhl/nNtg6yzmu5LW6sZkF9gng0wrN7Okmls9QmovSlMvzhucv45B+sZkG9rr8WRgovmRFD5/ik\nM2zY08kzu47QeqSf3E9SxLxLZrz3/BauXr2QWNT7H/UXH36ZB57dy+7Dffzhect4zQmTXxy3e2CQ\nlw50k846zlnRpPOIKlR/KsOOjh62t/fQ1pXkUE+S7oE0Zy2bw+tOW8j8+gTt3Um+/vh25tYm+MGH\nXkvLfC3vFTYKL5k2h3qSvNzWw8HuAR7a2EZHT5LnWjsZGMyyZE41Zy5t5LTFjbzr3GXc/0wrP3p2\nL/uPDrCsqYb3nr+CDXs6+dWWg8Sjxntes+K4E1pFcrLODes6vv7CFjbuO8r1/7GWpto4933oYo1n\nhozCS6bMOce+owN87bHt7DnSR+uRfvZ39tObGn5+TjRinLm0kdeums+KebVDU9hzXUPpTJZfbj7I\n7b/dydM7DjOvLsG5LU1cdOJ86jRILxOQ+5l6ZvcRbviPtaxcUMe9t140NA1fKp/CS8blnGNvZz/b\n23vZfaiXPUf6OdyborMvRXt3km0He4aCKmKwuLGaJU01LG6sZmFjFXNq4tQnYlQnokVfVqSzL0Vd\nVYx4VOfEy9S83NbNd556BcOYV5dgfn2CdNbR1T9IMp3l1cvncOkpzdx6+apx9+Wc45ndR3hq+yFO\nW9zIhavm0VitQCyHGZ8qb2ZvBr4MRIFvOOc+P5X9Sel19CTZsr+bLQe6eHZPJ+teOUxbV3Lo+VjE\nqKuKUZuIUlcV4+zlTSxsrGJRQzVLm2qGzQCbrKZaTaKQ0jh1UQN/etkqthzopr07yaHeJPFohAX1\nVWSd44mtHTy14xAHuwa49oIWTl5Yf9w+vvzLrWzY08lzrZ0c7k0NPR4xWLNyHje9diVvOnOxZqwG\n3KRbXmYWBV4G3gC0Ar8HrnP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      "text/plain": [
       "<matplotlib.figure.Figure at 0x14c8cc6e860>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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aSacHslM7BjcqQIqI1BoFyB7oDPcdBzckNA9SRKTGKED2QDYoRvcg1YIUEaklCpA9kMwJ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\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x14c8cc9e358>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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plKQkjU8m6R0ep6F67lBqqUswNpGka2DsOa8dmw6l2bvvQOcqiSyGQklKUtdgKmjmaymt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\n+gpq1DUnBeZF5zTzoe8/yXc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      "text/plain": [
       "<matplotlib.figure.Figure at 0x14c8b32eac8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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4/yMX6kHmob65Z3qQLcyMY8cNP6L32KKkuIgPHHc0uw42knbnrBlj2HWwiX94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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x14c8beb1b70>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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ufp4CSTJVR98IALMqpxdK9RXFGLDpQF8SqhKRydR9JzmjLTase3bV9LrvCvPzqCkvZPNB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\n7gcruwBUAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x14c8cb905c0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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NzMxycvI0MzPLycnTzMwsJydPMzOznJw8zczMcioreUo6RdJCSS2SLioyv17SjWn+bEmT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\nUtqC+O4AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x14c8d00bc18>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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6+f2OQ9z19EEO9o6QEw6xuq6Ely2vpKY4N+gSRRIi6hxPHejhgd0d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\nAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x14c8d08dba8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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M9pZV8t76+B6TkrYRzfHUOn26pzBmQBoL43gd4Ig61p1zLwMv10v7edjzcuAr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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x14c8d17f588>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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zrjBYKNa8GBr2BrKhUnt3iS6UYtT+GsnnfB1ZVkw4kElaJOkXku6XtELSu9Pl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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x14c8be45470>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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RSFMiFBGRSFMiFBGRSFMiFBGRSFMiFBGRSFMiFBGRSFMiFBGRSFMiFBGRSFMiFBGRSFMi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\nbkA3xvTtEvlrvaRu7s72A6U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      "text/plain": [
       "<matplotlib.figure.Figure at 0x14c8d1e87f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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WcfTr3Py78YoyY2haOwZ1bcuXG/cwZ/VOHvhgHWf378gZfVNUzRlGH6zayf/8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\nPzqdnh1b86OXF3Ppw58xb82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2zq00s7uATOfcLOAp4HmvUUo+gQSGt95MAo1RyoGbnXMV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\nRMQXlPBERMQXlPBERMQXlPBERMQX/j9mgigZX8QengAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x14c8d1e8198>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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4voyCVj6bBcjMSGPSqBwlWpRoRUQ6rDfW7eBAdQ2jW/n6bK1TRuexuqSCrbv2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\nvfkusWtH30l1fyJ+r38BtgAHif2Heg2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      "text/plain": [
       "<matplotlib.figure.Figure at 0x14c8b8296d8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x14c8bd60f60>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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KQqxOuYpIyKlIRpE1lbWMGjSAlIS4UKdyRGJjjGOHD1SRFJGQU5GMIqsq6iL+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\nAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x14c8c9fb9e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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L3JJcdjf1xjmy+KvrGKA8P5PsjBNPO5VqdBJcFS+asJTt6toH2NfSx8VLptYd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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x14c8cc8c7b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i in range(19,40):\n",
    "    cols = song.iloc[1:,[i]]\n",
    "    for col in cols:\n",
    "        plt.figure(figsize = (7,5))\n",
    "        sbn.distplot(song[col].dropna())\n",
    "        plt.title((col+'--distribution'))\n",
    "        plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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JJzK7DbgNoKCgYMjBioiIiIiESygtxtVAfsB2HlAbpMwfnXPdzrm9wE58ifIJnHP3OudK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\nGBtjjDHGGANYYWyMMcYYYwwA/wd3E4iSTx/sSQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x14c8cc632b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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piMhQqMZYRCQyVQHFfe4XATX9VzKzy4FvAFc7504OZVvn3L3OuQXOuQW5ublBC1xEZKRS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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x14c8b5cc0f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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a9MpqGhmjcoyoMjMumD+Byvpm3t1zNNbhiHQokolLHgB+Cvymk/V7gbPdvczM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\nNc6ClZx3LAO0thsaW9pobGmnqbWd6sZWTtSe4kT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DiNwO3G4/rReRD/yIrUMSUP6LPuxw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\nlFJKKaVUD/4XQLt20waTGBoAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x14c8b5cce10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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rN5VbH91JV0+f1+GIHBclxiIiEpNqGjtIT4ojLVH90I9HYpyfWy5dSNnhVv73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\neB2WiIiMQU1jYEQKJcYy0S5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1rbR19arjncS8s07I494b1vC1h7fztYd38K3/20VKgp/u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\n+pbsH3IAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x14c8d009630>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "cols_log = ['company','artist_name_id','lyricist_id','composer_id']\n",
    "for col in cols_log:\n",
    "    col_song_cnt = col+'_song_cnt'\n",
    "    col_rec_cnt = col+'_rec_cnt'\n",
    "    song[col_song_cnt] = np.log1p(song[col_song_cnt])\n",
    "    song[col_rec_cnt] = np.log1p(song[col_rec_cnt])\n",
    "    plt.figure(figsize = (12,5))\n",
    "    plt.subplot(1,2,1)\n",
    "    sbn.distplot(song[col_song_cnt].dropna())\n",
    "    plt.title((col_song_cnt+'--log--distribution'))\n",
    "    plt.subplot(1,2,2)\n",
    "    sbn.distplot(song[col_rec_cnt].dropna())\n",
    "    plt.title((col_rec_cnt+'--log--distribution'))\n",
    "\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "song.to_csv(SONG_NUM_LOG,encoding = 'utf-8',index = False)"
   ]
  },
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   "execution_count": null,
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   "source": []
  }
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